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Finding the Fourth Proportional to 6,763.93, 10,146.47 and 1,766.96

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Solution

The fourth proportional to 6,763.93, 10,146.47 and 1,766.96 is: 2,650.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,763.93 : 10,146.47 = 1,766.96 : x
  2. Step 2: Convert to fraction form
    6,763.93/10,146.47 = 1,766.96/x
  3. Step 3: Cross multiply
    6,763.93x = 10,146.47 × 1,766.96
  4. Step 4: Simplify right side
    6,763.93x = 17,928,423.16
  5. Step 5: Solve for x
    x = 17,928,423.16/6,763.93
  6. Step 6: Final answer
    x = 2,650.59

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.